Collective modes can be studied using either kinetic theory, or effective field theories.
The equivalence of the kinetic theory method and a hard thermal loop (HTL) effective theory approach, for isotropic and chirally symmetric systems, was shown in [1]}, [2]}, [3]}.
For anisotropic chirally symmetric systems, the connection between kinetic theory and a generalization of the HTL effective theory which is called a hard loop (HL) effective theory has also been established [4]}, [5]}.
Isotropic chiral kinetic theories have been developed in [6]}, [7]}, [8]}, [9]}, [10]}, and applied to a variety of physical problems, see for example [11]}, [12]}, [13]}.
